Free Printable Sampling Distributions

1.

A sampling distribution is the set of means created by ALL possible samples of the same size from a population.

a)

True

b)

False

2.

The heights of men are normally distributed with a mean of 70 inches and a standard deviation of 3. If all samples of size 12 are taken, what is the mean and standard deviation of the sampling distribution?

a)

$\mu_x\ =\ 70$ and $\sigma_x\ =\ 3$

b)

$\mu_x\ =\ 70$ and $\sigma_x\ =\ \frac{\sqrt{3}}{12}$

c)

$\mu_x\ =\ 70$ and $\sigma_x\ =\ \frac{3}{12}$

d)

$\mu_x\ =\ 70$ and $\sigma_x\ =\ \frac{3}{\sqrt{12}}$

3.

The standard deviation of a sampling distribution is the same as the standard deviation of the population.

a)

True

b)

False

4.

What is the shape of the sampling distribution of size n for the population depicted to the left?

a)

Skewed Right

b)

Skewed Left

c)

Approximately Normal

d)

Uniform

5.

If $\mu\ =\ 100$ and $\sigma\ =\ 15$ and repeated samples of size 10 are taken, what are the mean and standard deviation of the sampling distribution?

a)

$\mu_x=\ 100$ and $\sigma_x\ =\ 15$

b)

$\mu_x=\ 100$ and $\sigma_{\ x}\ =\ \frac{\sqrt{15}}{10}$

c)

$\mu_x=\ 100$ and $\sigma_{x\ }=\frac{15}{\sqrt{10}}$

d)

$\mu_{x\ }=\ \frac{15}{\sqrt{10}}$ and $\sigma_{x\ }=\ 100$

6.

The shape of the histogram of any sampling distribution of size n is always uniform.

a)

True

b)

False

7.

As the sample size of a sampling distribution increases, the standard deviation increases.

a)

True

b)

False

8.

The shape of the histogram for the means of any sampling distribution of size n is always approximately normal.

a)

True

b)

False

9.

What is the shape of the sampling distribution of size n for the population depicted to the left?

a)

Skewed Right

b)

Skewed Left

c)

Approximately Normal

d)

Uniform

10.

The mean of a sampling distribution is the same as the mean of the population.

a)

True

b)

False

11.

As the sample size increases, the standard deviation of the sampling distribution decreases.

a)

True

b)

False

12.

The shape of the histogram any sampling distribution is the same as the shape of the histogram of the population.

a)

True

b)

False

Sampling Distributions - Basics

Total questions: 12

Worksheet time: 15mins

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